log(67)=log(23*x)

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Solution for log(67)=log(23*x) equation:


Simplifying
log(67) = log(23x)

Reorder the terms for easier multiplication:
67glo = log(23x)

Remove parenthesis around (23x)
67glo = glo * 23x

Reorder the terms for easier multiplication:
67glo = 23glo * x

Multiply glo * x
67glo = 23glox

Solving
67glo = 23glox

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-23glox' to each side of the equation.
67glo + -23glox = 23glox + -23glox

Combine like terms: 23glox + -23glox = 0
67glo + -23glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(67 + -23x) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(67 + -23x)' equal to zero and attempt to solve: Simplifying 67 + -23x = 0 Solving 67 + -23x = 0 Move all terms containing g to the left, all other terms to the right. Add '-67' to each side of the equation. 67 + -67 + -23x = 0 + -67 Combine like terms: 67 + -67 = 0 0 + -23x = 0 + -67 -23x = 0 + -67 Combine like terms: 0 + -67 = -67 -23x = -67 Add '23x' to each side of the equation. -23x + 23x = -67 + 23x Combine like terms: -23x + 23x = 0 0 = -67 + 23x Simplifying 0 = -67 + 23x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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